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Equidecomposable Quadratic Regions

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Automated Deduction in Geometry (ADG 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4869))

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Abstract

This article describes an algorithm that decides whether a region in three dimensions, described by quadratic constraints, is equidecomposable with a collection of primitive regions. When a decomposition exists, the algorithm finds the volume of the given region. Applications to the ‘Flyspeck’ project are discussed.

This research has been supported by NSF grant 0503447.

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References

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Author information

Authors and Affiliations

  1. Math Department, University of Pittsburgh, Pittsburgh, PA 15217,  

    Thomas C. Hales

Authors
  1. Thomas C. Hales
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Francisco Botana Tomas Recio

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© 2007 Springer-Verlag Berlin Heidelberg

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Hales, T.C. (2007). Equidecomposable Quadratic Regions . In: Botana, F., Recio, T. (eds) Automated Deduction in Geometry. ADG 2006. Lecture Notes in Computer Science(), vol 4869. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77356-6_2

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  • DOI: https://doi.org/10.1007/978-3-540-77356-6_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-77355-9

  • Online ISBN: 978-3-540-77356-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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